An Analytical Solution for Longitudinal Impedance of a Large-Diameter Floating Pile in Soil with Radial Heterogeneity and Viscous-Type Damping

Kun Meng,Chunyi Cui,Zhimeng Liang,Haijiang Li,Huafu Pei

doi:10.3390/app10144906

Abstract

An analytical model is presented for solving the longitudinal complex impedance of a large-diameter floating pile in viscoelastic surrounding soil with radial heterogeneity and viscous-type damping, taking the effect of three-dimensional wave propagation of soil and lateral inertia of the pile shaft into account. The corresponding analytical solution for longitudinal impedance is also derived and validated via comparisons with existing solutions. The influences of the pile length, Poisson’s ratio of the pile shaft and the viscous damping coefficient, as well as the degree and radius of disturbed surrounding soil, on the longitudinal impedance of the pile shaft are examined by performing parametric analyses. It is demonstrated that the proposed analytical model and solution are suitable for the longitudinal vibration problem of a large-diameter pile and radially inhomogeneous surrounding soil, especially when the pile slenderness is low. In addition, the present solution can be easily degenerated to describe the longitudinal vibration problem relating to a large-diameter floating pile in radially homogenous soil or a pile with fixed-end supports.

Highlights

In most analytical models for pile vibration, the soil around the pile shaft is generally simplified to be radially homogeneous [1,2,3,4,5,6]
The primary aim of this paper is to develop a new analytical model to describe the longitudinal vibration of a large-diameter floating pile in viscoelastic surrounding soil with radial inhomogeneity, taking the effect of 3D wave propagation and lateral inertia of the pile shaft into account
Parametric analyses are performed to discuss the longitudinal vibration of a large-diameter floating pile embedded in surrounding soil with radial heterogeneity, considering the 3D wave propagation effect

Summary

Introduction

In most analytical models for pile vibration, the soil around the pile shaft is generally simplified to be radially homogeneous [1,2,3,4,5,6]. Veletsos et al [11,12] investigated the longitudinal and torsional vibration of piles in radially heterogeneous soil by dividing the surrounding soil into a semi-infinite outer undisturbed zone and an inner disturbed zone with a single layer. Nogami et al [13,14] derived an analytical solution for the longitudinal impedance of piles in radially inhomogeneous soil by combining. Doston et al [15] deduced the analytical expressions for both the longitudinal and torsional impedance of a single pile in soil with radial heterogeneity, assuming an exponential function for the variance of soil shear moduli within the inner zone

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